Solve 60x^2-24x^2+36x^2

$$60 x ^ { 2 } - 24 x ^ { 2 } + 36 x ^ { 2 }$$

Evaluate

$$72x^{2}$$

Solution Steps

Combine 60x^{2} and -24x^{2} to get 36x^{2}.

$$36x^{2}+36x^{2}$$

Combine 36x^{2} and 36x^{2} to get 72x^{2}.

$$72x^{2}$$

Differentiate w.r.t. x

$$144x$$

Steps Using Definition of a Derivative

Combine 60x^{2} and -24x^{2} to get 36x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(36x^{2}+36x^{2})$$

Combine 36x^{2} and 36x^{2} to get 72x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(72x^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\times 72x^{2-1}$$

Multiply 2 times 72.

$$144x^{2-1}$$

Subtract 1 from 2.

$$144x^{1}$$

For any term t, t^{1}=t.

$$144x$$